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Finding the Fourth Proportional to 7,741.83, 11,640.76 and 7,132.88

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Solution

The fourth proportional to 7,741.83, 11,640.76 and 7,132.88 is: 10,725.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,741.83 : 11,640.76 = 7,132.88 : x
  2. Step 2: Convert to fraction form
    7,741.83/11,640.76 = 7,132.88/x
  3. Step 3: Cross multiply
    7,741.83x = 11,640.76 × 7,132.88
  4. Step 4: Simplify right side
    7,741.83x = 83,032,144.19
  5. Step 5: Solve for x
    x = 83,032,144.19/7,741.83
  6. Step 6: Final answer
    x = 10,725.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.